English

A residue formula for integrals with hyperplane singularities

Complex Variables 2024-11-11 v2 Algebraic Geometry

Abstract

We prove a new residue formula for integrals with singularities along affine hyperplanes. Our formula makes use of a notion for real matrices called stability which is inspired by ideas from total positivity.

Cite

@article{arxiv.2408.12586,
  title  = {A residue formula for integrals with hyperplane singularities},
  author = {Andrew O'Desky},
  journal= {arXiv preprint arXiv:2408.12586},
  year   = {2024}
}

Comments

17 pages. v2: Introduce truncated residues and correct Example 1

R2 v1 2026-06-28T18:21:08.904Z